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  • 11
    Electronic Resource
    Electronic Resource
    Springer
    Pure and applied geophysics 99 (1972), S. 17-22 
    ISSN: 1420-9136
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Physics
    Notes: Summary A one dimensional problem concerning the wave propagation in a non-homogeneous conical rod having its cross-section directly proportional to the square of the distance from a chosen point is considered in this paper. One end of the rod is subjected to a pressure step while the other end is stress free and the pulse shape is examined when the propagation speed of the wave has a particular continuous distribution over the entire rod.
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  • 12
    Electronic Resource
    Electronic Resource
    Springer
    Pure and applied geophysics 88 (1971), S. 44-52 
    ISSN: 1420-9136
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Physics
    Notes: Summary The object of the present paper is to investigate the magneto-elastic surface waves in an initially stressed conducting medium. The theory of magneto-elastic surface waves in an initially stressed conducting medium has firstly been deduced and then it has been employed in investigating the particular cases of surface waves such as (i) Rayleigh waves (ii) Love waves and (iii) Stoneley waves. The wave-velocity equations obtained in different cases are in agreement with the corresponding classical results when the solid is initially unstressed and the magnetic field is absent or the material is non-magnetic.
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  • 13
    Electronic Resource
    Electronic Resource
    Springer
    Mathematical geology 4 (1972), S. 235-248 
    ISSN: 1573-8868
    Keywords: directional data analysis ; new statistical tests ; sampling ; statistics ; orientation data ; paleocurrent analysis ; sedimentology
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Mathematics
    Notes: Abstract Statistical procedures for (1) sampling, (2) testing the existence of a preferred direction, and (3) testing homogeneity of twodimensional directional data, which have been developed by the authors for paleocurrent studies, are presented. It is well known that conventional methods of statistical analysis are not applicable to directional data (e.g., crossbedding and ripplemark directions, grain lineations, etc.) which are “circularly distributed” on a compass dial. A sampling technique for directional data has been developed using the circular measures of dispersion and approximate ANOVA of G. S. Watson. On the basis of a pilot survey, it is possible to compute the minimum sample size required for estimating, with a desired precision, the mean paleocurrent direction of a formation. The optimum allocation of sample size between and within outcrops also can be accomplished at a minimum cost. The procedure described for testing uniformity (or lack of preferred direction) is based on the arc lengths made by successive sample points and is simple to use if the sample size is moderate. A table of critical points and a numerical example are given after a description of the test procedure. Finally, the procedures for testing the homogeneity of directional data from several geological formations are described by (1) tests for equality of the resultant directions (polar vectors) and (2) tests for equality of dispersions. With these tests it is possible to determine whether the paleocurrent directions from different geological formations belong to significantly different populations.
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  • 14
    ISSN: 1573-5060
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: Summary A spontaneous mutant for flower colour and shape in the dahlia cultivar White Pearl is described. It is suggested that this new type may be ascribed to a mutation of an inhibitor gene.
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  • 15
    Electronic Resource
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    Springer
    Theory and decision 5 (1974), S. 249-262 
    ISSN: 1573-7187
    Source: Springer Online Journal Archives 1860-2000
    Topics: Sociology , Economics
    Notes: Abstract Political theory distinguishes between two concepts of representative democratic decisions. Under the first concept, representatives do not decide issues as independent individuals but merely reflect the ‘will’ of their constituencies; under the second, the decisions are made by the elected representatives themselves on the basis of their independent judgments on political issues. In the literature of democratic choice, the first concept has been formalized by Murakami, Fishburn, Pattanaik among others, in terms of decision procedures where the representative is identified with the preference-pattern emerging from the aggregation of the preferences of individual voters in a given constituency. Here we formalize the second type of representative democracy and show that it comes into conflict with certain essential features of a democratic group decision rule. In particular decisiveness and monotonicity are violated. The violation of monotonicity is of particular significance because it has come to be regarded as one of the fundamental principles for the ethical acceptability of democratic decision procedures. I am also grateful to the University Grants Commission of India for the financial assistance in carrying out this study.
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  • 16
    ISSN: 1573-6857
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology
    Notes: Abstract The geneG, conditioning seed coat colour was found to be located at 15.37±3.05 map units from the breakage point of one of six newly induced interchanges in linseed. Since no information about the karyotype in linseed is available, the chromosome on whichG is located, cannot be specified.
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  • 17
    Electronic Resource
    Electronic Resource
    Springer
    Solar physics 17 (1971), S. 160-173 
    ISSN: 1573-093X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract 1–8 Å, 2–12 Å and 8–20 Å non-flare X-ray flux data and 9.1 cm spectroheliograms for 1237 days during the period July 1966 to June 1970 have been studied to derive physical models of λ 〈 20 Å X-ray emitting regions on the Sun under quiescent (non-flare) conditions. The preferred regions of emission below 20 Å which coincide with the coronal active regions characterised by enhanced 9.1 cm microwave emission are found to have temperature lying between 1.8 and 3 × 106 K, emission measure 1049–1050 and electron density 109-1010 per cc. The average area of an active region is 1020 cm2. A slow gradient of temperature and electron density is seen to exist around a region of peak activity, both temperature and electron density decreasing outwards. Based on the derived physical model of the emitting regions a new method is presented for calculating X-ray flux and spectral energy distribution in this wave length region using daily 9.1 cm solar spectroheliograms. The calculated values are in good agreement with the observed values.
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  • 18
    Electronic Resource
    Electronic Resource
    Springer
    Solar physics 30 (1973), S. 395-401 
    ISSN: 1573-093X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Daily solar radio flux at six different frequencies in dm, cm and mm wavelength regions has been studied for 182 days from December 1, 1970 to May 30, 1971. It is found that the slowly varying component of the centimeter wave emission correlates well with the physical model of the coronal active regions derived by Sengupta (Sengupta, 1971b) from which, as he showed earlier, most of the solar soft X-rays of wavelength less than 20 Å comes. It is also found that the cm wave emission is consistent with the assumption that the emitting regions are optically thin in this wavelength range. Emissions in dm and mm wavelength ranges, however, show poor correlation with the physical model of the soft X-ray emitting regions. It is concluded that the preferred regions of cm wave emission are located in the same region of solar corona from where most of the soft X-rays comes, but are different from the preferred regions of mm and dm emission.
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  • 19
    Electronic Resource
    Electronic Resource
    Springer
    Mathematical methods of operations research 14 (1970), S. 2-26 
    ISSN: 1432-5217
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Economics
    Description / Table of Contents: Summary Four different methods of analyzing the sensitivity of the optimal solution of a crop-mix problem in linear programming, e. g., (a) variability analysis for second-best and third-best solutions, (b) perturbation analysis around a specific optimal basis, (c) the sensitivity coefficient approach, and (d) the method of fractile criterion by which a specified fractile of the distribution of profits is maximized, are investigated here. The objective is to compare the different operational methods of sensitivity analysis applied to an empirical economic problem.
    Notes: Zusammenfassung Die vorliegende Arbeit behandelt vier Methoden zur Untersuchung der Sensitivität der optimalen Lösung eines „crop-mix“-Problems der linearen Programmierung: a) „variability analysis“ für zweit- und drittbeste Lösungen, b) „perturbation analysis“ der optimalen Basis, c) das „sensitivity-coefficient“-Verfahren und d) die „fractile-criterion“-Methode, durch die ein bestimmter Teil der Gewinnverteilung maximiert wird. Ziel der Arbeit ist ein Vergleich der Methoden bezüglich ihrer Anwendung auf empirische ökonomische Probleme.
    Type of Medium: Electronic Resource
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  • 20
    Electronic Resource
    Electronic Resource
    Springer
    Mathematical methods of operations research 15 (1971), S. 255-278 
    ISSN: 1432-5217
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Economics
    Description / Table of Contents: Zusammenfassung In dieser Arbeit werden die Implikationen der stochastischen Interpretation eines LP-Problems mit Hilfe der statistischen Zuverlässigkeitstheorie untersucht. Der Begriff der Zuverlässigkeit, seine Beziehung zu dem Vorhandensein von Überschußressourcen oder organisatorischem Schlupf und zum altersmäßigen Aufbau spezifischer Ressourcen, z. B. Kapital, mit einer speziellen Abbau-Funktion werden unter ökonomischen Gesichtspunkten geprüft. Auch Anwendungsmöglichkeiten dieses Zuverlässigkeitsverfahrens für ökonomische Verteilungs-Modelle werden angegeben, insbesondere für den Fall, in dem die optimale Dauerhaftigkeit fixer Ressourcen bestimmt werden soll.
    Notes: Summary The implications of the probabilistic interpretation of a linear programming system in terms of the statistical theory of reliability are here analyzed. The concept of reliability, its relation to the presence of excess resources or organizational slack and to the age distribution of specific resources like capital with a specific depletion function is explored from an economic viewpoint. Possible uses of this reliability approach for economic models of resource allocation are also indicated, particularly for the case when the optimal durability of fixed resources is to be determined.
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